For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
4
views
1
references
 Top references
cited by
0
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
0 collections
    0
    shares
      32
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Distribution networks and the optimal form of the kidney and lung

      Preprint
      Author(s):
      Publication date Created:

      Read this article at

      ScienceOpenArXiv
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          A model is proposed to minimize the total volume of the main distribution networks of fluids in organs such as the kidney and the lung. A consequence of the minimization analysis is that the optimal overall form of the organs is a modified ellipsoid. The variational procedure implementing this minimization is similar to the traditional isoperimetric theorems of geometry.

          Related collections

          Most cited references1

          • Record: found
          • Abstract: found
          • Article: found

          Functional Characteristics of Optimized Arterial Tree Models Perfusing Volumes of Different Thickness and Shape

          Rudolf Karch, Friederike Neumann, Martin Neumann … (2000)
          The relationship between the ‘shape of an organ’ and the ‘cost of blood transport’ to perfuse its tissue was evaluated on the basis of optimized arterial model trees simulated to perfuse square-based 100-cm 3 volumes of different shape (‘flat’ versus ‘thick’ as defined by the ratio of thickness to side-length h/s ≤1). Specifically, the effects of ‘shape’ on tree structure, blood transport, and on hemodynamic characteristics were investigated. Branching models of arterial trees were generated by constrained constructive optimization (CCO), based on an identical set of model parameters. All model trees were geometrically and topologically optimized for intravascular volume. Tree structures achieved tremendous savings of blood (transport medium) in comparison to a system of separate tubes. Thickening the perfusion volume (increasing h/s ) resulted in a significant decrease of mean transport length, deposition time, and intravascular total volume in the tree. ‘Thick’ perfusion volumes induced CCO trees to branch more symmetrically into a number of equivalent subtrees repetitiously splitting into smaller ones; ‘flat’ structures were dominated throughout by a few asymmetrically branching major vessels. In summary, we conclude from systematic variation of shape that thicker perfusion volumes ( h/s >0.1) facilitate efficient delivery of blood in comparison to large amounts of ‘dead volume’ to be carried over long distances in very thin pieces of tissue.
          Article 0 comments Cited 2 times – based on 0 reviews     Review now
            Bookmark
            All references

            Author and article information

            Journal
            Publication date Created: 06 December 2005
            Article
            ArXiV ID: q-bio/0512015
            SO-VID: 45cca83f-ce69-4b2e-9f40-71b909699bef
            History
            Custom metadata
            Comments 5 pages, 4 figures
            Categories q-bio.TO q-bio.QM

            Data availability:

            Comments

            Comment on this article